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Stability of the Quadratic Functional Equation

1998
The quadratic functional equation $$ f\left( {x + y} \right) + f\left( {x - y} \right) - 2f\left( x \right) - 2f\left( y \right) = 0$$ (3.1) clearly has f(x) = cx2 as a solution with c an arbitrary constant when f is a real function of a real variable.
Donald H. Hyers   +2 more
openaire   +1 more source

Quadratic Functional Equations

2023
Hemen Dutta   +3 more
openaire   +1 more source

Stability of a generalization of Cauchy’s and the quadratic functional equations

Journal of Fixed Point Theory and Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Approximate solutions of a quadratic functional equation in 2-Banach spaces using fixed point theorem

Journal of Fixed Point Theory and Applications, 2019
K. Y. N. Sayar, A. Bergam
semanticscholar   +1 more source

Set-Valued Solutions of a Generalized Quadratic Functional Equation

Results in Mathematics, 2018
A. Baias, Bianca Moșneguțu, D. Popa
semanticscholar   +1 more source

The quadratic function and the quadratic equation

1983
B.D. Bunday, H. Mulholland
openaire   +1 more source

THE QUADRATIC FUNCTION AND THE QUADRATIC EQUATION

1968
C. PLUMPTON, W.A. TOMKYS
openaire   +1 more source

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